The acceleration g due to gravity at a distance r from the

Question

Question: The acceleration g due to gravity, at a distance r from the center of a planet of mass m, is given by

g = Gm/r²

where G is the universal gravitational constant.

(a) Find ∂g/∂m and ∂g/∂r.

(b) Interpret each of the partial derivatives you found in part (a) as the slope of a graph in the plane and sketch the graph.